Derivative formulas Flashcards
1
Q
What formula is this for? lim x-0 F(x+h)-f(x)/h
A
Definition of the derivative
2
Q
What formula is this for? d/dx(c) = 0
A
Constant rule
3
Q
What formula is this for? d/dx (f+g)= f’+g’
A
Sum rule
4
Q
What formula is this for? d/dx(cf)= cf’
A
Coefficient rule
5
Q
What formula is this for?d/dx(x to the n power) = nx(n-1) (n= any real number)
A
Power Rule
6
Q
What formula is this for?d/dx(f * g)= f’(g)+f(g’)
A
Product Rule
7
Q
What formula is this for?d/dx(f/g)= f’(g)-f(g’)/g^(2)
A
Quotient Rule
8
Q
d/dx(e^(x)) is what?
A
e^(x)
9
Q
d/dx(sin x) is what?
A
cos x
10
Q
d/dx(cos x) is what?
A
-sin x
11
Q
d/dx (tan x) is what?
A
sec^(2) x
12
Q
d/dx(cot x) is what?
A
-csc^(2) x
13
Q
d/dx arcsin x is what?
A
1/sqrt(1-x^(2))
14
Q
d/dx(ln x) is what?
A
1/x
15
Q
d/dx arccos x is what?
A
-1/sqrt(1-x^(2))
